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Finding the Third Proportional to 249,028 and 533,048

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Solution

The third proportional to 249,028 and 533,048 is: 1,140,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,028 : 533,048 = 533,048 : x
  2. Step 2: Convert to fraction form
    249,028/533,048 = 533,048/x
  3. Step 3: Cross multiply
    249,028x = 533,048 × 533,048
  4. Step 4: Simplify right side
    249,028x = 284,140,170,304
  5. Step 5: Solve for x
    x = 284,140,170,304/249,028
  6. Step 6: Final answer
    x = 1,140,996.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.